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    Question

    In the comparison between Colleges P and Q, the student

    ratio is 6:5, and in the relation between Colleges R and P, the ratio is 13:10. Additionally, the ratio of boys to girls in Colleges P, Q, and R is 7:5, 2:3, and 7:6, respectively. Determine the percentage of girls among the total number of students in all the colleges combined.
    A 52% Correct Answer Incorrect Answer
    B 55% Correct Answer Incorrect Answer
    C 45% Correct Answer Incorrect Answer
    D 48% Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Number of students in P:Q:R= 30: 25: 39 Number of girls Students in P = 30x × (5/12) = 12.5x Number of girls Students in Q = (3/5) × 25x = 15x Number of female employees in C = 39x × (6/13) = 18x Required percentage = (12.5x + 15x + 18x)/94x × 100 = (45.5x/94x) × 100 = 48%

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